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Finding the Fourth Proportional to 1,157.25, 1,596.42 and 784.10

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Solution

The fourth proportional to 1,157.25, 1,596.42 and 784.10 is: 1,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.25 : 1,596.42 = 784.10 : x
  2. Step 2: Convert to fraction form
    1,157.25/1,596.42 = 784.10/x
  3. Step 3: Cross multiply
    1,157.25x = 1,596.42 × 784.10
  4. Step 4: Simplify right side
    1,157.25x = 1,251,752.92
  5. Step 5: Solve for x
    x = 1,251,752.92/1,157.25
  6. Step 6: Final answer
    x = 1,081.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.